Diffraction of SH waves by a system of cracks: Solution by an integral equation method
type: Item
instance of: scholarly article
title: Diffraction of SH waves by a system of cracks: Solution by an integral equation method
zbMATH Open document ID: 0625.73035
DOI: 10.1016/0020-7683(88)90097-2
author: Jianyong Qiao
author: Sumit K. Garg
published in: International Journal of Solids and Structures
publication date: 1988-01-01T00:00:00Z
review text: The plane problem of an infinite region containing an arbitrary set of straight cracks which are excited by an incident time harmonic SH wave is investigated. Using the representation theorem for the displacements, the boundary value problem is formulated in terms of singular integral equations for the displacement jump across the cracks. An appropriate expansion of the unknown function into Chebyshev polynomials leads to a system of algebraic equations for the expansion coefficients; the latter are directly connected with the dynamic stress intensity factors. As examples various configurations of two cracks loaded by plane waves of different incident angles are considered and numerical results are presented.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74R05
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74J10
zbMATH DE Number: 4016313
zbMATH Keywords: Galerkin method
zbMATH Keywords: interaction phenomena
zbMATH Keywords: plane problem
zbMATH Keywords: infinite region
zbMATH Keywords: arbitrary set of straight cracks
zbMATH Keywords: incident time harmonic SH wave
zbMATH Keywords: representation theorem
zbMATH Keywords: displacements
zbMATH Keywords: boundary value problem
zbMATH Keywords: singular integral equations for the displacement jump
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: system of algebraic equations
zbMATH Keywords: dynamic stress intensity factors
MaRDI profile type: Publication
full work available at URL: 0020-7683(88)90097-2
OpenAlex ID: W2088361509
description: scientific article; zbMATH DE number 4016313